Solve the given initial-value problem. The DE is a Bernoulli equation. 1 - - 2xy = 4yª, y(1) 3 dx

Q: f(x) = 3√3x^2 + x + 1  take note: fuction of x is cube root of 3x^2 + x + 1 (a.) the critical numb...

A: As per bartleby guidelines we only give first three suparts  question answer.

Q: Use the limit comparison test to determine whether the series converges 8. 7h +5 im The series conve...

A: The given series, ∑k=1∞87k+5  

Q: Name: Section: Find the derivative of the following. Show your solutions. 1. What is (3x) ? 2. What ...

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Q: Use sigma notation to write the Taylor series about z =1, for the function. 3Inr; 10 = 1 Σ

A: Explanation of the answer is as follows

Q: Use sigma notation to write the Taylor series about z = 1, for the function. 3 In z; z0 = 1 k =

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Q: Find the nth Maclaurin polynomial for the function. 2x - 2 f(x) = n = 4 X +1' Pa(x) %3D

A: Maclaurin series is given by f(x)=f(0)+xf'(0)+x22!f''(0)+x33!f'''(0)+x44!fiv(0)+.... Given f(x)=2x-2...

Q: Determine whether the series converges. k=1

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Q: To evaluate the possibility of using pyramid-shaped vessel, the rate of change of the dimensions wer...

A: Volume of pyramid = 1/3 * base area * height

Q: x²dx S. 1. 4 – : - x²

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Q: Use the definition of Taylor series to find the Taylor series (centered at c) for the function. f(x)...

A: We know that the Taylor series is given byf(x)=∑n=0∞fn(c)n!(x-c)nHere we need to find the Taylor ser...

Q: Find the interval of convergence of the power series. (Be sure to include a check for convergence at...

A: Given

Q: у %3D Зx5 — 15x4 + 20х3 + 3 -

A: Given : y=3x5-15x4+20x3+3   To Find : x & y- intercept of the given graph

Q: Calculate F . dS where F = (4x°z, 4y°z, 3z*) S is the surface of the solid bounded by the hemisphere...

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Q: Find the radius of convergence and the interval of convergence. Σ k(k + 1) k=1

A: To determine: The convergence of the power series ∑k=1∞ xkkk+1 Concept used: Ratio test: R=limn→∞an+...

Q: Determine whether the series converges. k=1

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Q: dy 2. V16 + y²

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Q: 1. J sec x csсх 2. S sin*x dx 3. S e2*(Vx + 1) dx

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Q: u+1 Using u-substitution, the integral Jf(x)dx reduces to a new integral glu) du. If glu) = , evalua...

A: Given  g(u) = u+1u and  ∫f(x) dx = x + lnx-1 + C

Q: Solve the equations: 8х - 2у - 13 -2x +5y- 8.

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Q: A trapezoid has an area of 36 sq. m and an altitude of 2m. Its two bases have ratio of 4:5. Find the...

A: A trapezoid has an area of 36 m2 and an altitude of 2 m. Its two bases have ratio of 4:5. Let, a=4x...

Q: Use the above theorem to find the sum of each series. NOTE: Write your answer in the form of a reduc...

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Q: Prove that the following statement is true for all positive integers. 1 1 1 + + 4 8 1 2" – 1 + 2n Pn...

A: Given; Pn : 1/2 + 1/4 +1/8 +...+1/2n =(2n -1)/2n

Q: b. Recall that f(x) = 2*-1-1. Graph of fi(x) = f(-x) + 2, f2(x) = f(-x+1) + 1, and fs(x) = f,(x) + f...

A: The given function,          fx=2x-1-1

Q: 2. Use the Intermediate Value Theorem to show that 2.x - 3 if – 3 0 has a zero on the interval [-2, ...

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Q: n2 - 6 with n5 + 6 Write an inequlity comparing for n > 1. n3 (Express numbers in exact form. Use sy...

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Q: Please see the image to see the given. thank you (a.) the critical numbers of f (b.) all relative e...

A: To find: (a.) the critical numbers of f(b.) all relative extrema of f(c.) the intervals on which f i...

Q: Find the nth Maclaurin polynomial for the function. 4x - 1 f(x) : n = 4 x + 1 Pa(x) =

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Q: x2 dx. Which of the following options is correct? 00 Consider 9+x6 00 Arcsin 9. + lim - Arcsin 3 A l...

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Q: Evaluate the following limits using L'Hôpital's rule   2. lim x→0+ tanh x/sechx − 1

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Q: (x + 1)2 and the line (x+1)?, 1, where a is the same constant. 4. Let Si be the area of the region b...

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Q: (a) Every power series converges somewhere. O True O False

A: ## According to bartleby guidelines we supposed to do the first one of multiple questions kindly rep...

Q: xp xy6x -x

A: The given integral ∫1x6x-x2dxThe integral formula,117. ∫duu2au-u2=-2au-u2au+C

Q: u+1 Using u-substitution, the integral Jf(x)dx reduces to a new integral g(u) du. If g(u) = , evalua...

A: We have to find value of f(x)

Q: (*y3 - ) + y² = 0 1 1+9r

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Q: Determine whether the alternating series coniverges. 5ln k k k=3 O The series diverges. O The series...

A: Here, the given series is: ∑k=3∞(-1)k5 ln kk which is the alternating series with bk=5 ln kk; k≥3

Q: The function f is defined by the following rule. f(x) = 2* Find f(x) for each x-value in the table. ...

A: Find inverse of L. Let x=L(t) 

Q: Find the radius of convergence of the power series. (If you need to use co or -co, enter INFINITY or...

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Q: Let 5n2 + 14n bn 3n2 an = 3n4 - 5n2 - 19' Calculate the limit. (Give an exact answer. Use symbolic n...

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Q: Tes n=1

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Q: The curve C with equation y = f(x) passes through the point (1, -3). Given the following, find f(x) ...

A: We know, ∫xndx= x(n+1)/(n+1)

Q: Find the radius of convergence and the interval of convergence. 00 k(k + 1) k=1 1) First apply the R...

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Q: Consider the integral dx . Using u-substitution, what is the appropriate u and du? -2x 3e 2t 2e

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Q: If the solution to e2x sec2(e2x+1)dx is equal to k tan (e2x+1) + C, find the exact value of k. 1 A 2...

A: This question can be solved using the concept of integration by substitution.

Q: Market research for a certain ice cream company indicates that if the price per cup of ice cream is ...

A: As per our guidelines, we can answer only three sub-parts in a single request. Kindly re-post the ot...

Q: Find the nth Taylor polynomial for the function, centered at c. f(x) : 1 n = 4, C = 2 Pa(x) =

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Q: x'- 36 lim 16 x+6 (a) Vx+11-4 lim- (b) х -5 (c) lim- +2 2-x

A: Since the student has posted many sub-parts of the question and does not mention any specific part, ...

Q: O Assume f(x) is a continuous function on [a, b]. Then for a < x < b, f(t) dt = f(x) dx O Assume f(x...

A: solution ) option first  d/dx∫xaf(t) =f(x) d/dx ∫axf(t) =-f(x) not a fundamental property fundamenta...

Q: Does the following power series converge for all real values of x? n=1 O It converges for all real v...

A: We will do ratio test for convergence test

Q: (c) The function f(x) is defined in the interval [-1,6] by 3-x, -1<x<2 f(x) ={ x -a, 2<x<b |(x-9)²-4...

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Q: (-1)"n! 3. (a) Test the series for absolute convergence. n" n=1 2 4 2n-1 (b) Prove that the series 1...

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